Finite strain analysis of simple shear using recent anisotropic yield criteria

International Journal of Plasticity

Volumn 15, Issue 9, 1999, Pages 939-962

  Tugcu P ^a   Wu, P D ^b   Neale, K W ^a  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

^b ALCAN INTERNATIONAL LIMITED   (Canada)

Author keywords

B. Anisotropic material; Finite strain plasticity

Indexed keywords

EID: 0347595825     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(99)00026-1     Document Type: Article

References (18)

1. Barlat, F., Lian, J., 1989. Plastic behavior and stretchability of sheet metals. Part I: a yield function for orthotropic sheets under plane stress conditions. Int. J. Plast. 5, 51-66.
2. Barlat, F., Panchanadeeswaran, S., Richmond, O., 1991. Earing in cup drawing face-centered cubic single crystals and polycrystals. Met. Trans. 22A, 1525-1534.
3. Barlat, F., Lege, D.J., Brem, J.C., 1991. A six-component yield function for anisotropic materials. Int. J. Plast. 7, 693-712.
4. Barlat, F., Becker, R.C., Hayashida, Y., Maeda, Y., Yanagawa, M., Chung, K. et al., 1997. Yielding decription for solution strengthened aluminum alloys. Int. J. Plast. 13, 385-401.
5. Bronkhorst, C.A., Kalidindi, S.R., Anand, L., 1992. Polycrystalline plasticity and the evolution of crystallographic texture in FCC metals. Phil. Trans. Roy. Soc. Lond. A 341, 443-477.
6. Harren, S., Lowe, T., Asaro, R.J., Needleman, A., 1989. Analysis of large-strain shear in rate-dependent FCC polycrystals: correlation of micro and macromechanics. Phil. Trans. Roy. Soc. Lond. 328, 443-500.
7. Hill, R., 1948. A theory of yielding and plastic flow of anisotropic metals. Proc. Roy. Soc. Lond. A 193, 281-297.
8. Hill, R., 1967. On the classical constitutive relations for elastic-plastic solids. In: Broberg, B., Hult, J., Niordson, F. (Eds.), Recent Progress in Applied Mechanics, Folke Odqvist Volume. Almqvist and Wiksell, Stockholm, pp. 241-249.
9. Hill, R., 1979. Theoretical plasticity of textured aggregates. Math. Proc. Camb. Phil. Soc. 85, 179-191.
10. Hill, R., 1990. Constitutive modelling of orthotropic plasticity in sheet metals. J. Mech. Phys. Solids 38, 405-417.
11. Hill, R., Hecker, S.S., Stout, M.G., 1994. An investigation of plastic flow and differential work hardening in orthotropic brass tubes under fluid pressure and axial load. Int. J. Solids Structures 31, 2999-3021.
12. Hill, R., Hutchinson, J.W., 1992. Differential hardening in sheet metal under biaxial loading: a theoretical framework. ASME J. Appl. Mech. 59, S1.
13. Karafillis, A.P., Boyce, M.C., 1993. A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids 41, 1859-1886.
14. Lege, D.J., Barlat, F., Brem, J.C., 1989. Characterization and modeling of the mechanical behavior and formability of a 2008-T4 sheet sample. Int. J. Mech. Sci. 31, 549-563.
15. Neale, K.W., Shrivastava, S.C., 1985. Finite elastic-plastic torsion of a circular bar. Eng. Fract. Mech. 21, 747-754.
16. Neale, K.W., Shrivastava, S.C., 1990. Analytical solutions for circular bars subjected to large strain plastic torsion. ASME J. Appl. Mech. 57, 298-306.
17. Tuǵcu, P., Neale, K.W., 1998. On the implementation of anisotropic yield functions into finite strain problems of sheet metal forming. Int. J. Plast., in press.
18. Van der Giessen, E., Wu, P.D., Neale, K.W., 1992. On the effect of plastic spin on large strain elastic-plastic torsion of solid bars. Int. J. Plast. 8, 773-801.